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Nonlinear Optical Coefficients
Bell System Technical Journal, 1967We consider, from a number of different viewpoints, the tensor coefficients which describe second harmonic generation, optical rectification, and the Pockels or linear electro-optic effect in acentric crystals. Stationary perturbation theory is used to calculate the low-frequency limit of the intrinsic electronic nonlinearity neglecting all effects due
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Numerical interpretation of controllability coefficients in nonlinear dynamics
Communications in Nonlinear Science and Numerical Simulation, 2023This paper considered a numerical framework that can be used to provide some clue as how to interpret the role played by numerical and symbolical controllability coefficients. The framework does not require computing such coefficients which is admittedly difficult for larger systems. The main differences of this paper to the existing literatures is the
Luis Antonio Aguirre +2 more
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On a Nonlinear Elliptic Equation with Periodic Coefficients
SIAM Journal on Applied Mathematics, 1981Homogenization is applied to a mildly nonlinear equation which arises in chemical kinetics. The method of multiple scales is used to get the homogenized equation, and the convergence is proved using the energy method.
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Nonlinear elastic coefficients of KDP
Physica B: Condensed Matter, 1996Abstract A new apparatus for the measurement of velocity changes due to applied mechanical uniaxial stress working from room temperature down to liquid nitrogen temperatures is described. The experimental data obtained with this apparatus allow to calculate nonlinear elastic stiffnesses.
U. Straube, H. Beige
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Nonlinear ultrasound simulation for heterogeneous nonlinear coefficient media
The Journal of the Acoustical Society of America, 2013In medical ultrasound, the use of simulation tools is very common to develop and test new imaging strategies. The existing tools are mainly limited to the linear propagation of ultrasound waves in tissue. A specific difficulty is due to the fact that the nonlinearity of investigated media can be different at different depths and the local value of the ...
François Varray +3 more
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Effective nonlinear coefficients of strongly nonlinear dielectric composites
Journal of Applied Physics, 2007The effective medium theory is used to model a two-phase strongly nonlinear dielectric composite. More general effective nonlinear coefficients are determined which are not limited to the case of dilute inclusions. Our results obtained by using the decoupling technique and the variational method are compared and are in agreement with the experimental ...
Jatuporn Thongsee, Mayuree Natenapit
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Local-field correction for nonlinear optical coefficients
Physical Review B, 1993We formulate the nonlinear optical coefficients in terms of the Matsubara Green's function and its spectral representation. From this a formula for the ab initio calculation of the local-field effect is derived.
, Chui, , Ma, , Kasowski, , Hsu
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Nonlinear convolution and fourier series coefficients estimate
2014 IEEE China Summit & International Conference on Signal and Information Processing (ChinaSIP), 2014In the present the paper an original description of the procedure for the modeling of nonlinear systems based on the socalled non linear convolution approach [1, 2, 3] is reported. This approach relies on the modeling of a nonlinear system by means of the linear convolution and we show how, in the case of memoryless nonlinear systems, the method is ...
BURRASCANO, Pietro +3 more
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DC coefficient restoration using nonlinear criterion and AC coefficients restoration
Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), 2002The DC coefficient restoration scheme is a technique which can be used to increase the compression ability of transform image coding by not transmitting the DC coefficients but estimating them from the transmitted AC component. We have previously proposed a nonlinear estimation criterion using the maximum a posterior (MAP) estimation technique which ...
Fu-wing Tse, Wai-kuen Cham
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Imaging the ultrasonic coefficient of nonlinearity: The impact of speed of sound variations
2015 IEEE International Ultrasonics Symposium (IUS), 2015Imaging the acoustical coefficient of nonlinearity, β, is of interest in a number of healthcare interventional applications. For cardiac ablation therapy, detecting the protective fibrofatty layer between the atrial wall and the esophagus would provide risk assessment with respect to esophageal injury.
Van Sloun, Ruud Jg +3 more
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